# How to write a slope intercept equation from a graph

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope rate and the y-intercept. Let's first quickly review slope intercept form. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope rate and the y-intercept.

Continue reading for a couple of examples! Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2 and y-intercept of 5. I substituted the value for the slope -2 for m and the value for the y-intercept 5 for b.

The variables x and y should always remain variables when writing a linear equation. In the example above, you were given the slope and y-intercept. Now let's look at a graph and write an equation based on the linear graph. Locate another point that lies on the line. Calculate the slope from the y-intercept to the second point.

Write an equation in slope intercept form given the slope and y-intercept. You can also check your equation by analyzing the graph. You have a positive slope. Is your graph rising from left to right? Yes, it is rising; therefore, your slope should be positive! We've now seen an example of a problem where you are given the slope and y-intercept Example 1.

## Distance Formula

Example 2 demonstrates how to write an equation based on a graph. Let's look at one more example where we are given a real world problem. How do we write an equation for a real world problem in slope intercept form? What will we look for in the problem? Real World Problems When you have a real world problem, there are two things that you want to look for!

The rate is your slope in the problem. The following are examples of a rate:To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.

This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y - coordinate is the value of b in the equation.

Home; Calculators; Algebra I Calculators; Math Problem Solver (all calculators) Slope Intercept Form Calculator with Two Points. The slope intercept form calculator will find the slope of the line passing through the two given points, its y-intercept and slope-intercept form of the line, with steps shown.

Improve your math knowledge with free questions in "Write a linear equation from a graph" and thousands of other math skills. This video teaches us the method to write an equation in slope intercept form and to graph it.

The equation of line is y = mx + c. m is the slope and c is the y intercept or the point where it . Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.

All you need to know is the slope (rate) and the y-intercept. Basic Linear Graphing Skills Practice Workbook: Plotting Points, Straight Lines, Slope, y-Intercept & More (Improve Your Math Fluency Series) [Print Replica] Kindle Edition. Slope Intercept Form